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30dd49e | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | {
"correct_letter": "B",
"correct_formula": "y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
"annotation": "Environment: g=9.81, F_drag=!=0\nGround: e=0.5\nBaseball: d = 0.07, e = 0.55, m = 0.14, h = 0.77, v_0 = 0.0\nSteelBall: d = 0.04, e = 0.6, m = 0.26, h = 0.77, v_0 = 1.11",
"choices": [
"B = μ_0·I / (2π·r)",
"y = h + x·tanθ - g·x² / (2·v_0²·cos²θ)",
"ΔE_loss = (1/2)·e²·(m_1·m_2)/(m_1+m_2)·(v_1i + v_2i)²",
"ΔE = (1/2)·[(m_1·m_2) / (m_1 + m_2)]·(v_1i - v_2i)²"
],
"correct_index": 1,
"physics_type": "Composition",
"composition_sources": [
"InelasticCollision",
"Projectile"
],
"choice_sources": [
"InelasticCollision",
"Projectile",
"InelasticCollision",
"InelasticCollision"
],
"seed": "Composition|Composition/4",
"is_realworld": true,
"dropped_wrong_formulas": [
"InelasticCollision: W_f = ∫ μ_k·m·g·ds = ΔE_k",
"Projectile: F_drag = (1/2)·C_d·ρ·A·v² (A = π·(d/2)²)"
]
}
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